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Finding the Third Proportional to 164,457 and 246,037.50

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Solution

The third proportional to 164,457 and 246,037.50 is: 368,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,457 : 246,037.50 = 246,037.50 : x
  2. Step 2: Convert to fraction form
    164,457/246,037.50 = 246,037.50/x
  3. Step 3: Cross multiply
    164,457x = 246,037.50 × 246,037.50
  4. Step 4: Simplify right side
    164,457x = 60,534,451,406.25
  5. Step 5: Solve for x
    x = 60,534,451,406.25/164,457
  6. Step 6: Final answer
    x = 368,086.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.